Question

There are 9 movies showing at a theater. Two are action movies, two are children's movies, and the other movies are comedies. Ashley randomly selects two different movies to see. What is the probability that the first movie is an action movie and the second movie is a comedy?

A) 2/9
B) 4/63
C) 4/35
D) 2/21

Answer 1

To find the probability that the first movie is an action movie and the second movie is a comedy, we consider the total number of outcomes and the number of favorable outcomes. The probability is calculated as (2/9) * (7/8) = 7/36.

Step-by-step explanation:

To find the probability that the first movie is an action movie and the second movie is a comedy, we need to consider the total number of possible outcomes and the number of favorable outcomes, where the first movie is an action movie and the second movie is a comedy.

Out of the 9 movies, there are 2 action movies and 7 comedies. So, the probability of selecting an action movie first is 2/9. After selecting the first movie, there are 8 movies left, out of which 7 are comedies. So, the probability of selecting a comedy movie second is 7/8.

To find the probability of both events occurring, we multiply the probabilities of each event: (2/9) * (7/8) = 14/72 = 7/36.

Therefore, the correct answer is D) 2/21.